Title :
Stability of networks under random noise
Author :
Vakulenko, S.A. ; Abramian, A.A.
Author_Institution :
Inst. of Mech. Eng.
fDate :
May 28 2005-June 1 2005
Abstract :
We consider stability of special dynamical systems under a random noise. These systems (networks) are important in many applications. We focus our attention on supporting of homeostasis of these systems with respect to fluctuations of an external medium (the problem is posed by M. Gromov, A. Carbone (2001)). Using a measure of stochastic stability we show that a network with fixed parameters is always unstable, i.e., the probability to support homeostasis converges to zero as time T rarr infin
Keywords :
neural nets; random noise; stability; stochastic processes; dynamical systems stability; genetic networks; homeostasis; networks stability; neural networks; random noise; stochastic stability; Biological systems; Circuits; Environmental economics; Evolution (biology); Fluctuations; Genetics; Mechanical engineering; Stability; Stochastic resonance; Time measurement;
Conference_Titel :
Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
Conference_Location :
St.Petersburg
Print_ISBN :
5-9651-0140-6
DOI :
10.1109/DD.2005.204902
